-Irrationality Search: After a Golden Section Approach, Another Esthetic but Vain Attempt

Year: 2005 Authors: Dirk Huylebrouck

Core claim

An esthetically appealing integral framework suggests a possible route toward proving irrationality of , but the attempt ultimately does not work for and even introduces extra zeta terms in the resulting expressions.

Topics

irrationality proofs, zeta functions, integral representations, golden section, esthetic mathematics

Domains

number theory, special functions, real analysis, mathematical constants, architecture, esthetic proportion, artistic mathematics

Methods

multiple integrals, maximization arguments, substitution transformations, asymptotic contradiction reasoning, comparison with known irrationality proofs

Media

symbolic formulas, multidimensional integrals, LaTeX mathematics, printed conference paper

Source status

This page publishes metadata and extracted analytical signals only. Raw PDF and full OCR text are kept local for now.